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A criterion for the complete continuity of the resolvent of a 2nth order differential operator with complex coefficients

Published online by Cambridge University Press:  14 November 2011

Yutaka Kamimura
Yutaka Kamimura
Affiliation:
Tokyo University of Fisheries, Konan 4-5-7, Minato-ku, Tokyo 108, Japan
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Synopsis

In this paper, an ordinary differential operator of 2nth order, with complex-valued coefficients, is considered. A necessary and sufficient condition for the complete continuity of the resolvent operator of the differential operator is obtained. This is an extension of earlier work by Lidskii dealing with a second-order differential operator with a complex-valued potential.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 116 , Issue 1-2 , 1990 , pp. 161 - 176
Copyright
Copyright © Royal Society of Edinburgh 1990

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